Greatest Common Factor of 8784/12, 7959/842

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8784/12, 7959/842

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 8784/12,7959/842

Given fractions are 8784/12,7959/842

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 8784,7959

Greatest Common Factor of Numerators i.e. GCF of 8784,7959 is 3 .

LCM of Denominators means LCM of 12,842 as per the given fractions.

LCM of 12,842 is 5052 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8784,7959

GCF of Fractions 8784/12,7959/842 is 3/5052

3 8784, 7959
2928, 2653

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 8784,7959 By Matching Biggest Common Factor Method

Greatest Common Factor of 8784,7959 By Matching Biggest Common Factor Method

Factors of 8784

List of positive integer factors of 8784 that divides 8784 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,48,61,72,122,144,183,244,366,488,549,732,976,1098,1464,2196,2928,4392,8784

Factors of 7959

List of positive integer factors of 7959 that divides 7959 without a remainder.

1,3,7,21,379,1137,2653,7959

Greatest Common Factor

We found the factors 8784,7959 . The biggest common factor number is the GCF number.
So the greatest common factor 8784,7959 is 3.

Lets's calculate LCM of 12,842

2 12, 842
6, 421

∴ So the LCM of the given numbers is 2 x 6 x 421 = 5052

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/5052

Therefore, the GCF of Fractions 8784/12,7959/842 is 3/5052

Least Common Multiple of 12,842 with GCF Formula

Least Common Multiple of 12,842 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 12,842 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,842) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(12,842) x common factors =2 x 1 = 2

LCM(12,842) = ( 12 × 842 ) / 2

LCM(12,842) = 10104 / 2

LCM(12,842) = 5052


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 8784/12, 7959/842

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 8784/12, 7959/842?

Answer: GCF of Numerators as per given numbers 8784/12, 7959/842 is

GCF of Numerators i.e. for 8784,7959 is 3

LCM of denominators i.e. for 12,842 is 5052.

Thus, GCF of Fractions is 3/5052.Finally, GCF of Fractions for 8784/12, 7959/842 is 3/5052.